Robust stability of systems of linear differential equations with periodic impulsive influence

We give sufficient robust stability conditions for matrix polytopes of linear systems with impulsive influence. The methods of our study are based on logarithmic matrix measure theory and linear operator theory in Banach spaces. Our results reduce the robust stability problem to the feasibility problem for a system of linear matrix inequalities in the class of positive definite matrices.

Presented by the member of Editorial Board: V. L. Kharitonov